(i)[3]
Determine the quotient when $4x^3 + 8x^2 + 11x + 9$ is divided by $(2x + 1)$, and prove that the remainder equals $5$.
(ii)[3]
Demonstrate that the equation $4x^3 + 8x^2 + 11x + 4 = 0$ has exactly one real root.
Mathematics 9709 · AS & A Level · Algebra